<h3>Answer:</h3>
6.8 inches
<h3>Explanation:</h3>
The shortest distance from P to the circle is along the line between P and the center of the circle. That line is the hypotenuse of the right triangle whose legs are PQ and QC (where C is the circle center).
The Pythagorean theorem tells you
... PC² = PQ² +QC²
... PC² = 13² +9² = 250
... PC = √250 = 5√10 ≈ 15.8114 . . . . inches
The distance from P to the circle is 9 in less than this, so is
... 15.8114 - 9 = 6.8114 ≈ 6.8 . . . . inches
75 degrees because 42+63=105
180-105=x
I think it’s m^5 because if you multiply m^7 times m^2 you get m^14 and if you combine it with m^9 you subtract 9 and get m^5
9514 1404 393
Answer:
D . . . (best of the erroneous choices)
Step-by-step explanation:
Solving the first equation for x, we get ...
√(y -1) ≥ x
Solving the second equation for x, we get ...
x > 3
Substituting for x, we have ...
√(y -1) > 3
y -1 > 9
y > 10
Ordered pairs that are in the solution set will have coordinates ...
x > 3, y > 10
In interval notation that looks like ...
x ∈ (-∞, 3) and y ∈ (10, ∞)
The closest answer choice is the last one.
_____
You will note that x must be strictly greater than 3, so y cannot be equal to 10. The offered choice is in error on that point.
__
You will also note that y is dependent on x. That is, one cannot pick a value of y greater than 10 independently of the value of x. In that sense, the solution is not "the set of all ordered pairs such that [x and y have independent limits]". Rather, it is the set of all ordered pairs such that √(y -1) ≥ x > 3.
Answer:
The three-dimensional figure is an octagonal prism
Step-by-step explanation:
<u><em>Verify each case</em></u>
<em>case a)</em> square prism
The net is made of 2 squares and 4 (rectangles or squares)
<em>case b)</em> square pyramid
The net is made of 1 square and 4 triangles
<em>case c)</em> octagonal prism
The net is made of 2 octagons and 8 (squares or rectangles)
<em>case d)</em> octagonal pyramid
The net is made of 1 octagon and 8 triangles
therefore
The three-dimensional figure is an octagonal prism
